A deutron and an \(\alpha\)-particle moving with the same velocity enter into a uniform magnetic field acting normal to the plane of their motion. The ratio of the circular paths described by the deutron and \(\alpha\)-particle is

The magnitude of induced emf in a coil depends on the :

Choose the correct statements :
(A) A nuclide is represented as \( ^A_Z X \)
(B) Nuclids with same number of protons are called isotopes
(C) \( \alpha \)-ray scattering experiments allow determination of the nuclear radius
(D) Nuclids with same number of neutrons are called isotones
(E) The nuclear force distinguishes between neutron and proton
Choose the correct answer from the options given below :

The Q-factor of a resonant LCR series AC circuit is given by

A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform horizontal magnetic field B perpendicular to length of wire. The magnitude of B is ( \( g = 10 \text{ ms}^{-2} \) )

Huygen's wave theory of light could not explain the phenomenon of :

What is the total energy of electron in the \( n^{th} \) stationary orbit of hydrogen atom ?

The current and voltage in an ac circuit are given by \( I = 5 \sin(100t - \pi/2) \text{ A} \) and \( V = 200 \sin(100t) \text{ V} \). The power dissipated in the circuit is

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Phosphorus forms \(PF _5\) but nitrogen cannot form \(NF _5\) as:

Match List-I with List-II

List-I (Physical quantity)	List-II (Unit)
(A) Threshold frequency	(I) J
(B) Planck's constant	(II) V
(C) Work function	(III) 1/s
(D) Stopping potential	(IV) J s

Choose the correct answer from the options given below:

A sinusoidal voltage with peak value 220 V and variable frequency is applied to a series LCR circuit in which \( R = 10 \, \Omega \), \( L = 4 \, \text{mH} \), and \( C = 100 \, \text{mF} \). Consider the following:
(A) Resonant angular frequency \(\left(w_o\right)=50 rad / s\)
(B) Resonant frequency \(\left(v_o\right)=25 / n Hz\)
(C) Resonant frequency \(\left(v_o\right)=50 / n Hz\)
(D) The rms current at resonance is 15.5 A
Choose the correct answer from the options given below:

Darwin's finches are the example of :

The mutation theory of saltation given by Hugo deVries based on his work on: